{"references": ["D. A.Nield, A. Bejan, \"Convection in porous media\", 3rd ed. New-York,\nSpringer-Verlag, pp.4282-4289, 2006", "I. Pop, D. B.Ingham, \"Convection heat transfer mathematical computational\nmodeling of viscous fluids and porous media\", Pergamon,\nOxford, 2001.", "M. M. Ali, T. S.Chen, B. F.Armaly, \"Natural convection-radiation\ninteraction in boundary-layer flow over horizontal surfaces\", AIAA\nJournal, vol.22, pp.1797-1803, 1984.", "M. A. Hossain, I. Pop, \"Radiation effect on Darcy free convection flow\nalong an inclined surface placed in porous media\", Heat mass transfer,\nvol.32, pp.223-227, 1997.", "KA.Yih .\"Radiation effect on Mixed convection over an isothermal cone\nin porous media\",Heat mass transfer,37,pp.53-57, 2001.", "AY.Bakier. \"Thermal radiation effect on mixed convection from vertical\nsurfaces in saturated porous media\". Int. Commun Heat mass transfer\n28, pp.119-126, 2001.", "P. Cheng ,W.J. Minkowycz, \"Free convection about a vertical a plate\nembedded in a porous medium with application to heat transfer from a\ndike\". Journal of Geophysical Research 82, pp. 2040-2049,1997.", "H.T. Chen , C.K. Chen, \"Free convection of non-Newtonian fluids along\na vertical plate embedded in a porous medium\", Trans. ASME, J. Heat\nTransfer 110, pp.257-260, 1998.", "K.N. Mehta K.N. Rao.\"Buoyancy-induced flow of non-Newtonian fluids\nin a porous medium past a vertical plate with non uniform surface heat\nflux\", Int. J. Engng Sci. 32, pp.297-302, 1994.\n[10] A. Mucoglu, T.S. Chen, \"Wave instability of mixed convection flow\nalong a vertical flat plate\", Num. Heat Transfer 1, 267-283, 1978.\n[11] S.P. Anjalidevi, P. Kandasamy. \"Effects of Chemical reaction, heat and\nmass transfer on laminar flow along a semi infinite horizontal plate\".\nHeat mass transfer, 35, pp.465-467, 1999.\n[12] R.Kandasamy, Abd.Wahid B. Md.Raj, Azme B.Khamis, \"Effects of\nchemical reaction, heat and mass transfer on boundary layer flow over a\nporous wedge with heat radiation in the presence of suction or injection\"\nTheoret. Appl. Mech., 33, pp.123-148, 2006.\n[13] R.R. Kairi, P.V.S.N Murthy. \"The effects of double dispersion on\nnatural convection heat and mass transfer in a non-Newtonian fluid\nsaturated non-Darcy porous medium\", Transport Porous Media, vol.76,\npp.377-390, 2009.\n[14] M.F. El-Amin, \"Double dispersion effects on natural convection heat\nand mass transfer in non-Darcy porous medium\". Appl. Math. Comput.\nvol.156,pp.1-7, 2004.\n[15] AJ. Chamka, \"MHD flow of a uniformly stretched vertical permeable\nsurface in the presence of heat generation / absorption and a chemical\nreaction\". Int. Comm. Heat Mass Transf. vol.30, pp. 413-422, 2003.\n[16] A.S.N. Murti, P.K. Kameswaran, \"Effect of radiation, chemical reaction\nand double dispersion on heat and mass transfer in non-Darcy free\nconvective flow\", Proceedings of the ASME International Mechanical\nEngineering congress & Exposition., Lake Buena vista, Florida, U.S.A.\nINMECE 2009-12734 DOI 10.1115,pp.681-690.\n[17] Ali.J. Chamkha, \"Heat and Mass Transfer for a Non-Newtonian Fluid\nFlow along a Surface Embedded in a Porous Medium with Uniform\nWall Heat and Mass Fluxes and Heat Generation or Absorption\", Int.\nJournal of energy, 3, pp. 97-104, 2007.\n[18] N. Ramachandran, B.F. Armaly, T.S. Chen, \"Measurements and Predictions\nof laminar mixed convection flow adjacent to a vertical surface. J.\nHeat Transfer 107, pp.636-641, 1985.\n[19] J.H. Merkin, T. Mahmood, \"Mixed convection boundary layer similarity\nsolutions prescribed wall heat flux\", Z. Angew. Math. Phys. 40, pp. 51-\n68, 1989.\n[20] A.S.N. Murti, P.K. Kameswaran, T. Poornakantha, \"Radiation,chemical\nreaction, double dispersion effects on heat and mass transfer in non-\nNewtonian fluids\", International Journal of Engineering, vol.4, pp. 13-\n25, 2010.\n[21] R.S. Telles, O.V. Trevisan, \"Dispersion in heat and mass transfer natural\nconvection along vertical boundaries in porous media \". Int. J.Heat mass\ntransf. vol.36, pp.1357-1365,1903.\n[22] O.A. Plumb, \"Measurements for a natural convection flow in a vertical\nsquare enclosure\", In: Proc.1st ASME/JSME Thermal Engg. Joint\nConf.2, pp.17-21, 1983.\n[23] J.T. Hong, C.L. Tien, \"Analysis of thermal dispersion effect on vertical\nplate natural convection in porous media, \"Int. J. Heat Mass Transfer\nvoI.30, pp. 143-150, 1987.\n[24] P.V.S.N. Murthy, P. Singh, \"Thermal dispersion effects on non-Darcy\nnatural convection with lateral mass flux\", Heat and Mass Transfer 33,\npp.1-5, 1977.\n[25] E.M.A. Elbashbery, \"Heat and mass transfer along a vertical plate with\nvariable surface tension and concentration in the presence of magnetic\nfield\". Int. J, Eng.Sci.Math.Sci.4,pp. 515-522, 1997."]}

In this paper, the effects of radiation, chemical reaction and double dispersion on mixed convection heat and mass transfer along a semi vertical plate are considered. The plate is embedded in a Newtonian fluid saturated non - Darcy (Forchheimer flow model) porous medium. The Forchheimer extension and first order chemical reaction are considered in the flow equations. The governing sets of partial differential equations are nondimensionalized and reduced to a set of ordinary differential equations which are then solved numerically by Fourth order Runge– Kutta method. Numerical results for the detail of the velocity, temperature, and concentration profiles as well as heat transfer rates (Nusselt number) and mass transfer rates (Sherwood number) against various parameters are presented in graphs. The obtained results are checked against previously published work for special cases of the problem and are found to be in good agreement.